I think this would be a very interesting study, but my study is actually a precursor to your question as I looked the responsiveness of the curriculum to the international students which showed that they feel very invisible and subject to cultural and intellectual bondage with a U.S.-Centric curriculum. The latter could certainly cause them to drop out or switch to another University. I hope you find these articles useful to your question.
Data Generation I: International and invisible in a workforce edu...
Article Cultural Sensitivity Needed in Online Discussion Rubric Language
Thanks, Martin! Indeed the relations between cultural differences and dropping out are interesting. But I did not express my primary interest clearly enough. It is the comparison of statistics between countries about dropping out and switching from one direction to another in higher education.
When I google the words you suggested there are indeed many hits. In many countries (including the Netherlands) scholars and authorities express worries about dropping out and switching, but viewed from a larger perspective the differences between countries are not that big. Also the problem seems not really bigger now than before. My impression is that dropping out and switching may be part of a healthy adolescent need to explore. Then efforts to reduce this might be wasted or might even have a negative effect on healthy development. International figures and/or figures over time might (dis)confirm my impression.